1 / 6

ECEN4503 Random Signals Lecture # 4 22 January 2014 Dr. George Scheets

ECEN4503 Random Signals Lecture # 4 22 January 2014 Dr. George Scheets. Read Chapter 2.7-3.1 Homework: Chapter 2: 20, 22, 25, & 26 (1 st Edition) Homework: Chapter 2: 51, 53, 58, 59 (2 nd Edition) Quiz #1 on 24 January. Quiz #1 Next Time. Covers Chapter 2 (text)

redford
Download Presentation

ECEN4503 Random Signals Lecture # 4 22 January 2014 Dr. George Scheets

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. ECEN4503 Random SignalsLecture #4 22 January 2014Dr. George Scheets • Read Chapter 2.7-3.1 • Homework: Chapter 2: 20, 22, 25, & 26 (1st Edition) • Homework: Chapter 2: 51, 53, 58, 59 (2nd Edition) • Quiz #1 on 24 January

  2. Quiz #1 Next Time • Covers Chapter 2 (text) • < Random Variables (notes) • Open Book, Notes, Instructor, & TA • Closed Neighbor • For All Quizzes & Tests... • Calculators allowed • So long as I/O only keyboard & screen • Smart Phones are NOT allowed

  3. Probability • Bounded by [0,1] • P(A + B) = P(A) + P(B) - P(AB) • P(a|b) = P(ab)/P(b) (Conditional Probability) • P(ab) = P(a)P(b) (Statistically Independent) • P(b) = P(a1b) + ... + P(anb) (Total Probability) • P( a1 + ...+ an ) must = 1ai∩ aj must be mutually exclusive, i ≠ j • P(a|b)P(b) = P(b|a)P(a) = P(ab) (Baye's Theorem)

  4. Bernoulli Trials & Binomial Distribution • You must have a two state experiment • Success or Failure • Stable probabilities • You must be interested in the number of successes (or failures) • Specific order not important • The individual experiments must be Statistically Independent

  5. Need P(Number of Outcomes)? • 1) Bernoulli Trial? Yes? Binomial Dist. • 2) If no, think Conditional Probability • Draw an event tree • Assign probabilities P(b1|a1) P(a1∩b1) P(a1) P(b2|a1) P(a1∩b2) P(b3|a2) P(a2∩b3) P(a2) P(a2∩b4) P(b4|a2) P(b5|a3) P(a3) P(a3∩b5) P(b6|a3) P(a3∩b6)

More Related